Stacking sequence optimizations in composite plates are combinatorial problems often handled by genetic algorithms (GA). However the GAs often require large computational cost for evaluation of each individual. In order to overcome this problem, the present paper proposes the use of lamination parameters in an approach to the optimization process with the GAs. The optimization process requires precise approximation of design space using response surfaces to obtain the optimal result. However, stacking sequence optimizations are discrete problems, and it is difficult to find the optimality of the result on the lamination parameter space. For zooming response surfaces, we require the test method for the optimality. In the present study, adjacent laminates to the obtained optimal result are introduced on the lamination parameter space, and the optimality test method is proposed. The test method is applied to the buckling load maximization problem of a laminated composite plate, and the effectiveness is confirmed by the example.